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Finding the Fourth Proportional to 809.28, 1,212.72 and 424

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Solution

The fourth proportional to 809.28, 1,212.72 and 424 is: 635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.28 : 1,212.72 = 424 : x
  2. Step 2: Convert to fraction form
    809.28/1,212.72 = 424/x
  3. Step 3: Cross multiply
    809.28x = 1,212.72 × 424
  4. Step 4: Simplify right side
    809.28x = 514,193.28
  5. Step 5: Solve for x
    x = 514,193.28/809.28
  6. Step 6: Final answer
    x = 635.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.